Download presentation
Presentation is loading. Please wait.
Published byPauline Chase Modified over 9 years ago
1
Aim #10-7: How do we compute probability? Empirical probability applies to situations in which we observe how frequently an event occurs.
2
Example 1: Using Real-World Data
3
Check for Understanding:
4
What is Theoretical Probability? Sample Space is the set of all possible outcomes of an experiment. Example: The sample space of tossing a cone is heads and tails.
5
Example 2: Computing Theoretical Probability A die is rolled. Find the probability of getting a number less than 5.
6
Check for Understanding: A die is rolled. Find the probability of getting a number greater than 4.
7
Example 2: Computing Theoretical Probability Two ordinary six-sided dice are rolled. What is the probability of getting a sum of 8?
8
Solution: P(E)= 5/ 36
9
Example 4: Probability and a Deck of 52 Cards You are dealt one card from a standard 52- card deck. Find the probability of being dealt a heart.
10
Check for Understanding: If you are dealt one card from a standard 52- card deck, find the probability of being dealt a king.
11
Example 5: Probability and Combinations
12
Solution:
13
Extension: Now suppose that a person buys 5000 diferent tickets in Florida’s LOTTO. What is the probability of the person winning?
14
Check for Understanding:
15
Probability of an Event Not Occurring
16
Example 6:
17
Solution:
18
Check for Understanding:
19
Or Probability
20
Example 7: If one card is randomly selected from a deck of cards, what is the probability of selecting a king or a queen?
21
Check for Understanding: If you roll a single, six-sided die, what is the probability of getting a 4 or 5?
22
Or Probability
23
Example 8:
24
Check for Understanding: Using the spinner on the right, find the probability that the pointer will stop on an odd number or a number less than 5.
25
And Probability with Independent Events
26
Example 10: Independent Events
27
Solution:
28
Check for Understanding: Find the probability of green occurring on two consecutive plays on a roulette wheel.
29
Example 11: Independent Events The picture on the left shows a family that has had nine girls in a row. Find the probability of this occurrence.
30
Check for Understanding: Find the probability of a family having four boys in a row.
31
Summary: Answer incomplete sentences. Explain the difference between theoretical and empirical probability. Explain the difference between “or” and “and” probability events. You have a pair of dice. What is the probability of getting a sum of 11.
Similar presentations
© 2024 SlidePlayer.com Inc.
All rights reserved.